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Finding the Third Proportional to 442,855.69 and 664,168.22

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Solution

The third proportional to 442,855.69 and 664,168.22 is: 996,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,855.69 : 664,168.22 = 664,168.22 : x
  2. Step 2: Convert to fraction form
    442,855.69/664,168.22 = 664,168.22/x
  3. Step 3: Cross multiply
    442,855.69x = 664,168.22 × 664,168.22
  4. Step 4: Simplify right side
    442,855.69x = 441,119,422,797.55
  5. Step 5: Solve for x
    x = 441,119,422,797.55/442,855.69
  6. Step 6: Final answer
    x = 996,079.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.